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Simplifying -8p + -1(1 + -5p) = -1(p + 5) + -8 -8p + (1 * -1 + -5p * -1) = -1(p + 5) + -8 -8p + (-1 + 5p) = -1(p + 5) + -8 Reorder the terms: -1 + -8p + 5p = -1(p + 5) + -8 Combine like terms: -8p + 5p = -3p -1 + -3p = -1(p + 5) + -8 Reorder the terms: -1 + -3p = -1(5 + p) + -8 -1 + -3p = (5 * -1 + p * -1) + -8 -1 + -3p = (-5 + -1p) + -8 Reorder the terms: -1 + -3p = -5 + -8 + -1p Combine like terms: -5 + -8 = -13 -1 + -3p = -13 + -1p Solving -1 + -3p = -13 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -1 + -3p + p = -13 + -1p + p Combine like terms: -3p + p = -2p -1 + -2p = -13 + -1p + p Combine like terms: -1p + p = 0 -1 + -2p = -13 + 0 -1 + -2p = -13 Add '1' to each side of the equation. -1 + 1 + -2p = -13 + 1 Combine like terms: -1 + 1 = 0 0 + -2p = -13 + 1 -2p = -13 + 1 Combine like terms: -13 + 1 = -12 -2p = -12 Divide each side by '-2'. p = 6 Simplifying p = 6
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